01 - In a stand mixer bowl, combine flour, sugar, yeast, and salt. Mix briefly to distribute evenly.
02 - Add eggs and lukewarm milk to the dry mixture. Mix on low speed until a rough, shaggy dough forms.
03 - With mixer on medium speed, add softened butter one cube at a time, ensuring each piece is fully incorporated before adding the next. Continue kneading for 8–10 minutes until the dough is smooth, elastic, and pulls away from the bowl sides.
04 - Transfer dough to a lightly greased bowl, turning to coat all sides. Cover with plastic wrap or a damp towel and let rise in a warm, draft-free place for 1 to 1.5 hours, or until doubled in size.
05 - Punch down the risen dough to release air. Divide into 12 equal portions and shape each into a smooth, tight ball by tucking edges underneath.
06 - Arrange dough balls in a greased 9x13-inch baking pan or on a parchment-lined baking sheet, leaving slight space between each. Cover loosely and let rise for 45–60 minutes until puffy and visibly expanded.
07 - Preheat oven to 350°F.
08 - Whisk together egg and milk for the egg wash. Brush the tops of each roll gently and evenly, avoiding excess pooling.
09 - Bake for 18–22 minutes, or until rolls are deeply golden brown on top and sound hollow when tapped lightly.
10 - Transfer pan to a wire rack and let rolls cool for at least 10 minutes before serving warm.